What is the Greatest Common Factor of 44750 and 44758?

Greatest common factor (GCF) of 44750 and 44758 is 2.

GCF(44750,44758) = 2

We will now calculate the prime factors of 44750 and 44758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44750 and 44758.

How to find the GCF of 44750 and 44758?

We will first find the prime factorization of 44750 and 44758. After we will calculate the factors of 44750 and 44758 and find the biggest common factor number .

Step-1: Prime Factorization of 44750

Prime factors of 44750 are 2, 5, 179. Prime factorization of 44750 in exponential form is:

44750 = 2¹ × 5³ × 179¹

Step-2: Prime Factorization of 44758

Prime factors of 44758 are 2, 7, 23, 139. Prime factorization of 44758 in exponential form is:

44758 = 2¹ × 7¹ × 23¹ × 139¹

Step-3: Factors of 44750

List of positive integer factors of 44750 that divides 44750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 179, 250, 358, 895, 1790, 4475, 8950, 22375

Step-4: Factors of 44758

List of positive integer factors of 44758 that divides 44750 without a remainder.

1, 2, 7, 14, 23, 46, 139, 161, 278, 322, 973, 1946, 3197, 6394, 22379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44750 and 44758. The biggest common factor number is the GCF number.
So the greatest common factor 44750 and 44758 is 2.

Also check out the Least Common Multiple of 44750 and 44758